6533b828fe1ef96bd1288c9f

RESEARCH PRODUCT

A covariant determination of the Weyl canonical frames in Petrov type I spacetimes

Joan Josep FerrandoJuan Antonio Sáez

subject

PhysicsGeneral Relativity and Quantum Cosmologysymbols.namesakePhysics and Astronomy (miscellaneous)SpacetimeNull (mathematics)symbolsWeyl transformationCovariant transformationCharacterization (mathematics)Type (model theory)Observer (physics)Mathematical physics

description

A covariant algorithm is given to obtain principal 2-forms, Debever null directions and canonical frames associated with Petrov type I Weyl tensors. The relationship between these Weyl elements is explained, and their explicit expressions depending on Weyl invariants are obtained. These results are used to determine a cosmological observer in type I universes, and their usefulness in spacetime intrinsic characterization is shown.

https://doi.org/10.1088/0264-9381/14/1/014